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" The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Pagina 144
door Robert Potts - 1860 - 361 pagina’s
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848 - 520 pagina’s
...— px + </=0 Geometry. 6. Any two sides of a triangle are together greater than the third side. 7. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. 8. In equal circles, angles, whether at the centres or circumferences, have the same ratio which the...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pagina’s
...different combinations that may be made of n different things, taking r of them together. SECTION III. 1. In a circle the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. 2. Describe a circle in a given triangle. 3. Similar triangles are to each other in the duplicate ratio...
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Report of the Committee of Council on Education (England and Wales ..., Nummer 1

Great Britain. Council on Education - 1848 - 532 pagina’s
...different combinations that may be made of n different things, taking r of them together. Section 3. 1. In a circle the angle in a semicircle is a right angle,...less than a semicircle is greater than a right angle. 3. Similar triangles are to each other in the duplicate ratio of their homologous (or corresponding)...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - 1848 - 514 pagina’s
...squares of the sides of the parallelogram. 3. In a circle, the angle in a semicircle is a right anyle ; but the angle in a segment greater than a semicircle is less than a right angle, and llie angle in a segment less than a semicircle is greater than a right angle. 4. To describe a circle...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 394 pagina’s
...are equal to 2 right angles, .'. /_ ABC + /_ ADC = 2 right angles but ABC Z_ a right angle .'. ADC in a segment less than a semicircle is greater than a right angle. 8. \E ABCD and HLM are two equal circles, their centres being 0, G. AOB and HGK are two angles at the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 332 pagina’s
...in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less then a right angle ; and the angle in a segment less than...ABCD be a circle, of which the diameter is BC, and centre E ; draw CA dividing the circle into the segments ABC, ADC, and join BA, AD, DC ; the angle...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagina’s
...AD, DC ; the angle in the semicircle BAC is a right angle; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle,; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce...
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The Calendar of King's College, London

1850 - 400 pagina’s
...from the centre; and those which are equally distant from the centre are equal to each other. • ,. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. 6. To describe an isosceles triangle, having each of the angles at the base double of the third angle....
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The English Journal of Education, Volume 4

1850 - 488 pagina’s
...Mention the corollary to this theorem. 2. In a circle, the angle in a semicircle is a right angle; but an angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle. 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. SECTION II.—Solve...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 942 pagina’s
...triangle is bisected by the straight line drawn from the vertex bisecting the base of the triangle. 7. The angle in a segment greater than a semicircle is less than a right angle. — Prove it ; and find the area of a segment of a circle containing 60°, whose radius is 10 feet....
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